Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240q |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5358469917966336000 = -1 · 242 · 33 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1655745,828126657] |
[a1,a2,a3,a4,a6] |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
1.4549994835012 |
L(r)(E,1)/r! |
Ω |
0.24249991391686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240cy1 570k1 54720t1 91200dd1 |
Quadratic twists by: -4 8 -3 5 |